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Op 22/01/2025 om 14:48 schreef Richard Hachel:
> x²+4x+5=0
> 
> This equation has no root, and it never will.
> 
> We can then find two roots of its mirror curve.
> 
> Let x'=-3 and x"=-1
> 
> These are not roots of this curve, but the roots of the imaginary mirror 
> curve.
> 
> What is this imaginary mirror curve?
> 
> It is the curve with equation y=-x²-4x-3
> 
> Let's look for its roots, and we find x'=-3 and x'=-1
> 
> These are the imaginary roots of x²-4x+5.
> 
> Or x'=-3(i) and x'=-1(i)
> 
> R.H.


Wolfram Alpha tells us there are two roots:

https://www.wolframalpha.com/input?i=solve+x%5E2%2B4x%2B5%3D0

Here you can see the roots:

https://www.desmos.com/3d/mpwj5h2ab8